LOCAL AND GLOBAL SOLVABILITY OF SOME PARABOLIC SYSTEMS MODELLING CHEMOTAXIS

Existence of local and global in time solutions for parabolic-elliptic and parabolic systems describing the aggregation of the cellular slime mould by the chemical attraction is studied. In particular, conditions for global in time existence, as well as nite time blow-up are given. Self-similar and radial solutions are also considered.

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